Kakuro 50x50, 100x100

For fans of Kakuro

Kakuro 50x50, 100x100

Postby Mathimagics » Sat Sep 01, 2018 12:35 pm

creint wrote:Do you have a testcase for easy kakuro's with a larger size like 50x50 or 100x100?


Here is a 50 x 50 puzzle, with 1506 clue cells, and standard (diagonal reflection) symmetry.

It is computationally "easy" in the sense that it is entirely solvable by direct implications, ie no T & E (DFS). My solver time (2.77GHz CPU) is 215ms (0.215s).

Generating it took a hell of a lot longer, of course! :?

Hidden Text: Show
Code: Select all
.689.5289...698..251...31.251.132..218...28.4897.
8427.864792.241..39421.63.986.659..4231.854.16423
5231.957.71..645.68913.945.95..14....98.51...5864
61.39.362...23.381.59.38.3572.69713.65..23..89...
.51.384.96..175.246.485.123.421.896.37.24..94.136
.932.71.596..19...71.26.31...68..854.2136..713459
..287....31...6157.527..7821....6472..56.173.126.
124.218...21...2416.41....32..192.89...4125......
28..869..132...89.93.68..67.6948.69..58.369..263.
69.635.637...67..135.365.21.31..85...3912...69871
5123.318425..297.25...9431582.4251.....462.98.412
.53.249...79...834.....79.975.769.68..26.45132.24
...9587.9712...31.42.7896...13..6189.13..89..12..
...312..83...635.261.412.871.89..215.49...86..85.
.9584...249..79..7952.513982.1532.27.24937.57.98.
6521.13..23..82796.7154.261...14389...54187.2946.
9837152...57...213.689.48.934..51632..15..19.5146
.71.6741..413.93..49..6258.26.58...19..37.2798.29
......62.31.541...68.94.6531..621..541.183.85.618
419..67.218..25..42..214.975...95....542.1832.93.
3278951.46...13..53.98.98..41...46..179..59.63...
13.13.513...13..62..86.3124.4312.46378....31.629.
..128..283.94.274...15..713..423..28.92....534681
.697..6879.7349126..231.25..41...98..21.37..79.67
218...845...69.412.13.21.31.62.158.98...417...312
78.25..39.68..28...24..94.263..5769412.7126..397.
948372....42.41..213..231..75...357.93.978..951..
.245.42....95864.3241.9738.42..61..32...869.72.24
...13.43..967..15...21..59.21.62..19...12.4861237
.97.7519.617....79...256.268..79..52..859.79..413
512.96.721.149..182..6948.31.78...219.97.32......
84.9681.59..15...74.37.9638..92..23.352..1623.94.
6532.98..26..35712..154.97.253.978...31...1689234
.6983.49587...31269...192.8796.52693..61..38.5123
.28.16.62314.87.4183.836127.1298..21..748...6841.
.86..36...86.512..31.621.491.152.364...27..912...
..12..96..43.7492..24...4153.57.59...1653.9876...
15.36981.83..32.934.197.13.....142...98...612.69.
231.32.295.....6412.3758291...85.697..583972.4589
67495...1653...87..39.89.524.893..48...421.425.46
.425..947.12..79.5247.23..78.95.78...123..368..75
......5143...12.986..13....31.3125...26...251.568
.579.982.76..3512....2168..129.8697...71....968..
946821..6529.689..76...72.15.67...49..921.71.274.
412.68..94.78.951.129.316.921.695.251..95.631.92.
...64..12..13.38792.3475.46.69.132.63...723.64.58
7982...68.78....98..12.986.53612.984..15.986.5269
98612.231.2416..563.785.41.94765..324.386794.2416
.7984.95...351..241.891.72...823..689...7451.358.
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Mathimagics
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Kakuro 100x100

Postby Mathimagics » Sun Sep 02, 2018 12:12 pm

.
This one took a bit of work, but here it is, a 100 x 100 Kakuro.

It has a unique solution, standard symmetry, 6322 clues (64.5% clue density), and is, like the 50 x 50 above, solvable without T&E/DFS. Time for my solver was 0.4s.

Hidden Text: Show
Code: Select all
57.5698.89...673.89.47.53.857...95..789.93.897...39...76.132..57...89.96.92.97.87..13....8957.69.97
89.8172695..6897.92768.89.9847.9573.291.648973..721..284.586.9386..93.72.31.81.517.84.2316879.17.59
.124.8597.519..835.62..31..986.13.951....79.869.9587.965.698.51.94.68.876.9243.19687..5879..57.376.
..16.61.156879.98..49.9674.79..47.79.79.92.6528....29.97.26.48..86.47..379.16.59.84.38.98.98.96.82.
.7594.35.79..37.48.98.4721.421.869.2516.3145.....2918.538.589.7921.31.81.168.68..97.179.6432..48917
86371.694.....6371.87.124.8613..83.89....584.89.9875.8213.237.985.85..95.79..132.416.27..321.124.84
987.....95.....765..3289.172........289...32.27341.39742...13...489.....437..896..692.296..639.....
79628.152674.2189.89.97.12..15.79...896.149.2154...415...689..263718...98.1829......921534..85.7983
..819.58.968.589..16.135794.48.679.912..79.793..12...25..927.968...197.869.21.379..4876.19.84..9865
84..392...9731....678459.421.27.65384...68.95.8397..368.28...59.39..82.728.651798.89.139.715.865...
613..7621..986...3589.27.798.79.479.36895..31.4283.31.927...1749238..4251..7389...93...81.97.67295.
928.48937.......79..24....6541...218.41829..74...6984..19.1578.81.13694.3849..6879315.54936..98.728
..7586...26893.95.86.95.....942.4879....4895.51.986..148.843.....1325.12.635..43251.197.897.9756.17
7526....857961.78.329.78.42...9716....29.156.93721...79..96872.1642...9384....891.48.216...97.98.36
98.....398.72.162.938.4591328.59.3678.371.13..58.58.93....8795.679548.759.75...13.624739..281549.79
.37..836.38.1624.57....12.1796.89.29584.8172.92..41958...879.4139..793.76.317...69..786..58639.31..
7192.97.796.598.93..9684.978.86.637.9687.98147652.261.29.426.1324...2156.1968.78.87195.3819.....87.
86.98.879..24..6729.8512.549.72.84..29.59..49.869.386.157....697...9657824.79214.4138..29678..38967
..256.93.286.321546..75..85.19.84..87..139.....984..769.81..785.8965.6894.49.94.152....15.548.76.38
.9785.58.698.46.418.94.....95.6721.94....37.53...78.394.97.7932.62135..41.345.284.572416....695.296
.7162.269.5978.189.26198..87293.742.....218.79...1348.316..98....83674....589231.589367......71968.
81.7981.681.9654.748..51.19.389..8124..94.56.1742593..79.7612..8972.97185.12.389.93..967..93...712.
621.75..8937.173..279.16875..31...897.251.97.798365......8936.736....9576...845.....68597.7621543..
964..7985.79.58.....38.37...........971..43.524..274...31.825.968...7569.3251...239.978.164.16985..
.459.315..........138925.89..4961..589.968.28..89.689..7621...4217.61235.579....128.51.849.87...894
..31.65..326.698..58..79.75.19785.73...245.36.968..38.19742....579142.249.146..391....473892..85961
59.49123.8643279.32.689...1726..362.897.59.42.873..2498.96....513.6798.163.89.98....84795.84.769.89
17..54.79.896..5316.21...872.215.86.689.374.4861...134......798..12859..7216843...39712...61.19.958
98.37..58..824..97.79....9685.97..3197.79.9712.96....15.69.7149..859.....967.973..78951.........27.
84.568.168..165.75.489.79.896.24.958...12386.92.714.456728.938...24.945.382.6351.817.238......165..
.67981.6798...792.4217.1723...3875.28794.162..19.39.67.41....39684..89735..371..87..87.6874..179.89
..98..79.752.795..165.92874.14769...564........57283....97.942785.71.281..329..6798153.29867.357628
9786.794...968.39.69..79....7589...54962...18..83..159.849.71..291563.96217...619.689...59.69..8936
78.18362.2789...87.1894.69.896....72.879.13897.6139.452138.824...2831..865....975.73...7169.865.813
.98.21..2697.93..89.751.84.768....619.84.89.2361.621349..56..5481.987.97.4938.824....8793.8967351..
76984.597.86.64.85649..498.1495.78964.316.48.49.15.927....879.89654.23146.815...671.895....25.17...
82.96321..65.8746.72..79....879.9683..589.89.28739...869..19827.93.9547.167.97...89123675....329175
..64.96.......68..21.82319....652......3712...56879...28.57..897.6189..7986.7698..83..2164...58.689
.68..8759.583...241.89.146..29.984.....789...43.6874..4517.76128.98.69.659...157.....18975624..98..
4973..498.976.9168.623..275.129..38.....451.85.49..6891.68.985.9287..495.76.95.67..2839...791.3296.
15.79.38..894.725631.19...987.829.38.....68719.15...25.8437.941.976...439.154...35.79..849..2786.98
827149.2456.19..7985..56.98435.78.157....896..65...218.12.26..921.598.748.49.....2743.25179.689.987
..9678..29.126893.....78.81.43.....69..1725.894275.9675...1975.18.981.51.13458..189...698.86....721
97..15..67.78.34.52.....83..692.37....153.48971356.63.182.3896.95...986..32879.29.49.......589.....
6953.71.314...95.869...52.97..381469.4579.275.37....51.976...1967...47.986.38..68.179.189..97368...
86915.891.195..89.972.274983.519.613.79......97.281..98.98..983....859.17..79.79...28.368.94..23.97
...91.68...217.246..467..321.36.692.93871..67821934...23.57.72....893.18....67319.95.379.983.459763
968.869...61.491.281.8379...18.678..89.931.295.489.78.97.987.79.8697.79.397..3157.7361.1452.98..421
721398.2579.352.51678.9185.629.8915.612.845....26.986.758.589.82314..18.789.29..876.95.798.176.....
.13742.4187.98..87..938..9483.....934.67459....65.85....52314.587.....7926..589..84..65.8754.72931.
.....791.213.69.796..14.781.54..25317.165.821.857.79....614.631.9618.926.1958.75612.589.7642.938576
291..34.8956.9723.3159..973.79.5461.15.974.97.97.956.912.398.47..879.13...8769.893.514.61...524.198
782519.174.563.49.14379....98.695....18.92.89...27419683..16523.753.98.468..139..983.759...97.84...
86.73..39.589.95...98.13..57.148....489..89.28..123.38......87.283.986.581743.579.79..971.214.12876
...85947..978.698.62..79.491.28...8712...579.43....65.483.6731.641523..89.18...986.74...856.27.8759
.....698.......67.98.86415..379...58.9875.178.26.67213895.781....49.738..92.....49.85.14.38..91..98
318....64.896...418..64132.72.542.31.4612...1679.781459.7859..13.....67.98.79.....943162.89..6598..
829.492.97482.7692.....79.985.786.791..94.49.185...82..715....951.79.12974.18..5726..85.9231.847569
93.3871..937..95.92...187.231...829.271.6197.26...69.57849.....93.126.986...58.695782.271..34.98.48
.8379.798...6487..85.95.63.982..4125.986.26.4317..15.89.235.....78..983.894..168.7893.385.786..1697
..89..58649237.....927...986.39.97.87321.4759..8124.74...793.....921.94..891.79.914...793.1938..97.
987.28...9738..91..2451.1574..6913.986..18.78...39512...3264......891....65789.81..96.......24.78..
651849....61428573...42.763.8947.94.42815..129...52831.69.758..7859.968....39..62.9821.17..41538.83
...41.93....513.362...819.94783.48579.974....896.89.12.18.876.29671.7369.789..15423.98.89.497.62831
..2354698.2497....315.9765.89.182.7964..65..724361.7482.57.89.689....453.89.129.54..82.3697..89.96.
531.958.9167...62.589....781..7516...968.156937.9418.49578.178.35....598.65.5481.92...3256.43926.29
8796..58.49...589.143...94621.873912..84.968.138..89..68...23174...3621....82..61.92.715...213.5916
984763.95382.3278149..591..347.97.643192.89....49325........475...68917.73896.984..582.426.59..87..
71.879..9578.97..68..567..86592..73985....78.15.79.63..941.15987.6145...4162.8695.917...1823.92453.
..695......985.398.4387.214.986.79...214.981756.418.92.41823...941.57.586.91.475.26.479..947.897.97
.89.........97826..689.419.....365..2478.83.97....31.3152.18.8759..23.3421....37.85..359..79..89.15
538.68.53...38912...6487539..36798..639......496...8416.829.971.89.682.237...81.5983..869.16.43..26
31.625.97.16243....59.62.251.6798.843....96.9248..731.83.48.896.123..1298...792.37.2567143.82174.89
24693..698275....418..987.847.265179....21976.14..968.79.357...92.58296.12.46..59..978.579..98.91..
127...91.759.42.789....931.26138.9578...7489..896.87..31.869.198..2513..59.348126..........986.598.
..29183.596.879.197...7593.6859...689.649.46...731..982.45..175...........41.42.....31.12.9713..798
..8795126.49165.....194...8793....317.3217......241367.37.934.298...32..64923.928..958.4926..98.836
.398...78..879..28.698.59.13425.3215..8759.98..9532786.98.19..1578..942.58.59..194.2154.314.6798.79
.24317......258139.957643....69873....98..876.3618...31.917.....519.81497..75896.981.2846.821.5986.
571.391....238967.153.986.96..45217.3251.19.175.89...97.59....89.7596.51.....38.974.73.287.53.6572.
61.98.975.51....954.69.98.7312.6859.897..76.589..763.....637..38..82.96.68..91..256794.142.89.412..
98742..12834..9712.62341.1854729...978....412.698.986.87..98.34..12.98.639.9625.1259..96..348.37.68
.98.....4986.97851.97.3267.4293...8514.321.39.147.76485312.3879.631.26.126.7869..31.361.741.79.2649
..93.89217..135..67...978.61.514..9746.958...78295..21.5491.31798.64.2179.91....71.7894.98.325..17.
98.896743..125864.86...37.985.468972.3789....97.42.53..25.689.6875.98.3947586.729.569.27.791.....29
13.97.87...748.52.947....8572...2861.13687..18...49386.968.26....9765...59.42.968.62.239618....1235
86.6495.698.861.78513..217.97.4957.....749.895..968.59.1239....9578.269.....49.15.93.36859...5936..
598.16..18465.8794632..6894.98371.32.9721.39..9857...59..24897.812...4815....16..97.......43968.731
.49135.39.38...31...1854..3714..6894521...947.71.8697.59..16724.689.85.592.12.7938...321..6173..142
...768.286.954.98.574689.729.35..32.98...78.965..3189.78.86...51347.93.278.976148....2431...897..96
7598..14.89.2176..785.91.915.198...385.581..62...15..513.75..869.382.97.839764.87..968.527.95.285..
2984.82..365789......1689.58...362917..895...972...8976.762.947...59.81..12.38.71.1425.241863.59832
.....973..879.589..925..796.....978...82...62531.18762.89...829........326.5496..428.....95.....978
53.867.798..89.142.713..87.98..17.598.695.9418.8679.89.351....85.97..7849.698.94.5478.....687.98721
67498..6195.679.79..49.516.81.98.7381.978.713.4759.....1857.4128.248.897.8749.13.13.97..97.76.4321.
.96.91.98.81.18.87.58.78.813..59.91..41.98.79.89....9472.82.79.94.89..76.6521.41..61.615327.86.26..
.853.93..7986..15476.2846.875.87.86.79.879.862.4623.869.94....278.26.751..93..29.692..785.4798.948.
92.97.9461327.13.182.89.81.42.64..2748.146.947..249..548769.197.1834.9658.31.73569.4623..7184965.97
16.59.7985....29..51.14.94.67.26...52..967.35...31...159.97.281..91...329.87.95.94.387...98.1524.32


I also have a 103 x 103 puzzle for which the grid template is "tiled', ie built from a series of 5x5 repeating patterns. It is compoed entirely of run lengths 2, 3, and 4:

Hidden Text: Show
Code: Select all
..982..987..142..958..659..912..986..897..731..298..879..572..164..982..789..968..897..681..697..126..
..461..821..593..521..897..859..571..571..894..183..217..897..312..598..267..794..281..892..975..647..
468.6794.9418.6948.2589.5186.8617.7132.2386.3817.9867.2713.1986.3248.5928.6253.9247.4879.7498.1495.879
89...95...97...76...69...29...96...27...17...62...98...89...47...79...84...64...71...98...84...78...16
971.7849.9631.1832.8165.6451.2879.8795.2591.2347.9714.2471.8697.8164.9718.7129.6128.3725.7968.3124.724
..498..586..628..192..789..589..271..217..948..895..816..986..571..978..614..813..321..281..968..589..
..879..845..219..789..641..264..395..839..689..382..938..762..897..213..975..721..548..895..395..238..
357.1597.7385.4983.6859.8973.3268.6589.8597.7159.7831.9538.7854.9468.6495.3175.9621.5879.9765.9781.495
29...97...79...39...92...51...79...97...87...27...97...79...69...79...98...89...94...93...13...17...76
689.2165.9568.9478.9578.6421.5689.6315.1483.7589.9728.9874.7984.5216.9178.3789.9512.7548.4517.2498.153
..796..978..986..986..698..296..789..196..798..178..698..285..298..893..986..182..146..653..897..384..
..851..817..758..461..475..352..895..379..231..297..973..378..182..412..692..896..398..421..975..298..
183.9847.3165.2136.8397.2985.1734.7958.7649.2187.2351.5341.9678.1829.7824.7896.7596.3689.2184.4621.784
26...78...35...58...13...59...12...83...93...37...74...17...18...51...61...78...97...79...23...93...98
497.7218.4897.8695.3465.3829.2816.5791.6815.3791.8962.2597.1492.8964.5947.4913.2167.3561.7893.2518.659
..985..719..185..879..682..758..791..971..932..497..985..698..321..796..137..615..389..784..497..489..
..671..978..896..417..897..679..968..892..625..259..791..142..796..651..679..821..197..241..259..291..
398.3415.6589.9487.8497.5168.7698.3125.3148.8635.5698.7894.9241.5621.7468.8159.3458.6934.5381.8759.361
16...73...93...86...68...58...57...97...71...79...81...61...49...31...97...89...89...72...26...91...96
986.9865.6712.1243.3579.4698.7985.8395.5829.9316.8952.4937.9382.1934.3897.1269.7123.4512.3892.7134.973
..783..398..682..687..897..214..879..978..897..385..893..897..128..372..512..793..895..894..146..598..
..896..154..598..298..682..371..716..617..412..896..489..684..519..691..683..859..281..581..798..964..
829.7869.9857.7389.948...971.6483.5897.2186.5412.9827.5629.3174.2891.5879.879...845.3189.9283.2631.769
93...69...98...79...96...31...79...91...37...12...97...98...98...24...79...13...63...79...17...91...78
316.4578.7618.3156.289...428.5962.5721.8796.9385.5713.7869.8296.6187.3187.638...985.5461.1793.1426.214
..137..589..986..869..879..698..836..681..372..794..869..146..869..182..379..871..648..895..879..785..
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